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Finding the Third Proportional to 599,031 and 1,303,038

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Solution

The third proportional to 599,031 and 1,303,038 is: 2,834,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,031 : 1,303,038 = 1,303,038 : x
  2. Step 2: Convert to fraction form
    599,031/1,303,038 = 1,303,038/x
  3. Step 3: Cross multiply
    599,031x = 1,303,038 × 1,303,038
  4. Step 4: Simplify right side
    599,031x = 1,697,908,029,444
  5. Step 5: Solve for x
    x = 1,697,908,029,444/599,031
  6. Step 6: Final answer
    x = 2,834,424.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.